[R] Understanding mod.matrix for directed networks

2015-05-18 Thread Aziz, Muhammad Fayez
Dear Gabor,



Please find attached an Excel file with detailed information on a four node 
directed network to calculate its pairwise modularity matrix using igraph: 
mod.matrix(). I have tried multiple combinations to figure out how the formula 
works or is applied but failed to find consistency, specially for the pairs of 
arcs in opposing directions where the pairwise modularity is different 
(highlighted and color-coded). I gave membership(wtc) as input to mod.matrix() 
but not even sure if its used in the formula provided in the following R manual 
page:



http://igraph.org/r/doc/modularity.html



Advice with a solved example in the Excel sheet would be deeply appreciated.



Thanks and regards,

Fayez

University of Illinois at Urbana Champaign, USA
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[R] symm parameter of heatmap

2015-02-05 Thread Aziz, Muhammad Fayez
Hi,



What exactly is the difference between using symm=TRUE and symm=FALSE in a 
heatmap. More elaborately, when symm=FALSE, what does the heatmap plots because 
it seems like it changes the scale and makes it asymmetric, even if x is 
symmetric and square.



Additionally, is it possible to view the matrix that the heatmap plots? Here is 
a sample code I have been testing:



rm(list = ls())

g - graph.full(5) %du% graph.full(5) %du% graph.full(5)
g - add.edges(g, c(1,6, 1,11, 6, 11))

adjMatrix=get.adjacency(g, sparse=FALSE)

heatmap3(adjMatrix, Rowv = NA, Colv = NA, symm=FALSE)

windows()
heatmap3(adjMatrix, Rowv = NA, Colv = NA, symm=TRUE)



Thanks,

Fayez

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Re: [R] meta data on infert data set

2014-02-02 Thread Aziz, Muhammad Fayez
Thank you folks. Actually I did lookup all these resources you  mentioned but 
couldn't find a word for word meta data. In fact the data set is a bit 
different from what's in the appendix of the paper. Also the meaning of these 
terms seems to be specific to the study than following the dictionary.

Regards,
Fayez

On Feb 1, 2014 10:56 PM, David Winsemius dwinsem...@comcast.net wrote:

On Feb 1, 2014, at 6:32 PM, Jeff Newmiller wrote:

 They appear to be technical terms relevant to fertility. You should probably 
 ask someone with a background in medicine... or Google for these terms in 
 conjunction with the word fertility.

Parity is the only technical term and its easy enough to look up in a 
dictionary. (Or if you do a Google search and choose the first hit you see it 
accurately defined at least for its biologic meaning. The other two relate to 
the study design and that why the author put in a citation, which unsurprising 
brings up the orignal paper as the first hit with a Google search.

So, Aziz, please use a bit more initiative.

--
David Winsemius


 ---
 Jeff NewmillerThe .   .  Go Live...
 DCN:jdnew...@dcn.davis.ca.usBasics: ##.#.   ##.#.  Live Go...
  Live:   OO#.. Dead: OO#..  Playing
 Research Engineer (Solar/BatteriesO.O#.   #.O#.  with
 /Software/Embedded Controllers)   .OO#.   .OO#.  rocks...1k
 ---
 Sent from my phone. Please excuse my brevity.

 On February 1, 2014 5:57:37 PM PST, Aziz, Muhammad Fayez 
 az...@illinois.edu wrote:
 Hi,



 I wanted to know what the following columns mean in the infert
 dataset:



 parity  count
 matched set number  1-83
 stratum number  1-63



 Thank you,

 Fayez

 Urbana, IL, USA

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 __
 R-help@r-project.org mailing list
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 PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
 and provide commented, minimal, self-contained, reproducible code.

David Winsemius
Alameda, CA, USA


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[R] meta data on infert data set

2014-02-01 Thread Aziz, Muhammad Fayez
Hi,



I wanted to know what the following columns mean in the infert dataset:



parity  count
matched set number  1-83
stratum number  1-63



Thank you,

Fayez

Urbana, IL, USA

[[alternative HTML version deleted]]

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and provide commented, minimal, self-contained, reproducible code.


Re: [R] How to auto adjust panel width according to number of box plots in bwplot

2013-08-07 Thread Aziz, Muhammad Fayez


Thank you so much Richard. Your solution worked like a charm. I worked out my 
weight vector w for each type of my plots and the results were smooth as butter.



Sure I shall be succinct in display of code and data inside correspondence to 
r-help in future. Dennis gave me a few tips on how to do that.



Thanks again,

Fayez




From: Richard M. Heiberger [r...@temple.edu]
Sent: Monday, August 05, 2013 11:38 PM
To: Aziz, Muhammad Fayez
Cc: r-help@r-project.org
Subject: Re: [R] How to auto adjust panel width according to number of box 
plots in bwplot

library(lattice)
library(latticeExtra)
tmp - data.frame(a=1:20, b=LETTERS[rep(1:5,c(2,4,3,4,7))], cc=letters[rep(1:2, 
c(6,14))])
tmp
bwplot(a ~ b | cc, data=tmp)
bwplot(a ~ b | cc, data=tmp, scales=list(x=list(relation=free)))
resizePanels(bwplot(a ~ b | cc, data=tmp, 
scales=list(x=list(relation=free))), w=c(2,3))

Please use minimal data in furture queries to this list.

Rich


On Mon, Aug 5, 2013 at 2:18 PM, Aziz, Muhammad Fayez 
az...@illinois.edumailto:az...@illinois.edu wrote:

Hi,

My question is how to auto adjust panel width according to number of box plots 
in bwplot. I mean if a panel has 10 box plots and another has only two, I need 
to make the later panel thinner than the first. I am familiar with panel.width 
and layout.widths params but couldn't work it in my code below. Data I am using 
follows.


[[alternative HTML version deleted]]

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[R] How to auto adjust panel width according to number of box plots in bwplot

2013-08-05 Thread Aziz, Muhammad Fayez

Hi,

My question is how to auto adjust panel width according to number of box plots 
in bwplot. I mean if a panel has 10 box plots and another has only two, I need 
to make the later panel thinner than the first. I am familiar with panel.width 
and layout.widths params but couldn't work it in my code below. Data I am using 
follows.

Code:


# Change from v3: Introducing panel function to color points according to 
network's age
# courtesy: 
# http://www.statmethods.net/graphs/boxplot.html
# http://chartsgraphs.wordpress.com/2008/11/18/boxplots-r-does-them-right/
# http://msenux.redwoods.edu/math/R/boxplot.php

library('reshape')
library(lattice)

FilePath = C:\\Users\\Fayez\\Desktop\\Gustavo_EFL\\


File2Open = paste(FilePath, RCode\\RData\\PanelSizeData.txt, sep = )

DataTable = read.table(File2Open, header = TRUE, sep = \t)
#   print(DataTable)

#   Reshape data from wide to long
#   For explanation, I found a link: 
http://www.statmethods.net/management/reshape.html
md - melt(DataTable, id.vars = c('Panels', 'Rate', 'NodeNo'))

#   Make variable-column = Nntnt'Age' headers numeric by stripping off 
the Nntnt part and coercing it to numeric
md$variable - as.numeric(substr(md$variable, 6, 
nchar(as.character(md$variable
md$NodeNo - as.character(md$NodeNo) # to show labels as characters
md$NodeNo - factor(md$NodeNo, unique(md$NodeNo)) # to order the labels

#   Start PNG device driver to save output to figure.png
png(filename = paste(FilePath, Results\\ROutput\\PanelSizeData.png, 
sep = ), width = 3200, height = 450) # should be in 16:9 ratio for good 
arrangement of panels

print(bwplot(value ~ NodeNo | Panels, 
data = md, 
xlab = paste(A, sep = ), 
ylab = paste(B, sep = ), 
main = paste(Variable panel sizes, sep = ),
pch = 20, # dots instead of circles
horizontal=FALSE,
scales = list(x = (relation = sliced), y = (relation = 
same), rot=90), # necessary to make x-axis in each panel adjustable according 
to number of domains
layout = c(10, 1), # panel arrangement
 ))

#   Turn off device driver (to flush output to png)
dev.off()


Data:

Panels  RateNodeNo  Nntnt0  Nntnt0.0044843  Nntnt0.0089686  Nntnt0.0134529  
Nntnt0.0179372  Nntnt0.0313901  Nntnt0.0358744  Nntnt0.0403587  Nntnt0.044843   
Nntnt0.0538117  Nntnt0.0717489  Nntnt0.0807175  Nntnt0.0896861  Nntnt0.0941704  
Nntnt0.0986547  Nntnt0.1210762  Nntnt0.1255605  Nntnt0.1300448  Nntnt0.1345291  
Nntnt0.1434978  Nntnt0.1524664  Nntnt0.161435   Nntnt0.1659193  Nntnt0.1748879  
Nntnt0.1838565  Nntnt0.1883408  Nntnt0.1973094  Nntnt0.206278   Nntnt0.2107623  
Nntnt0.2197309  Nntnt0.2242152  Nntnt0.2466368  Nntnt0.2511211  Nntnt0.2600897  
Nntnt0.264574   Nntnt0.2735426  Nntnt0.2825112  Nntnt0.2869955  Nntnt0.2959641  
Nntnt0.3049327  Nntnt0.3587444  Nntnt0.4215247  Nntnt0.4618834  Nntnt0.4663677  
Nntnt0.4798206  Nntnt0.4977579  Nntnt0.5156951  Nntnt0.5201794  Nntnt0.529148   
Nntnt0.5336323  Nntnt0.5829597  Nntnt0.5874439  Nntnt0.5964125  Nntnt0.632287   
Nntnt0.7399103  Nntnt0.7533633  Nntnt0.7668161  Nntnt0.7802691  Nntnt0.8026906  
Nntnt0.8340807  Nntnt1
0.0 to 0.1 0.000   n.37.1  3   4   4   4   6   
6   7   8   8   9   9   9   9   9   9   
9   9   9   9   9   9   9   9   9   9   
10  10  11  11  11  11  11  11  11  11  
11  11  11  11  11  11  11  11  11  12  
12  12  12  12  12  12  12  12  12  12  
12  12  12  12  12  12
0.0 to 0.1 0.0044843   n.2.1   0   1   1   2   2   
3   3   4   5   6   6   6   6   6   6   
6   6   6   6   6   6   6   6   6   6   
6   6   6   6   6   6   6   6   6   6   
6   6   6   6   6   6   6   6   6   6   
6   6   6   6   6   6   6   6   6   6   
6   6   6   6   6   6
0.0 to 0.1 0.0089686   n.4.5   0   0   1   1   1   
1   1   1   2   2   2   2   2   2   2   
2   2   2   2   2   2   2   2   2   2   
2   2   2   2   2   2   2   2   2   2   
2   2   2   2   2   2   2   2   2   2   
3   3   3   3   3   3   3   3   3   3   
3   3   3   3   3   3
0.0 to 0.1 0.0134529   n.66.1  0   0   0   3   3  

[R] Variable panel sizes in box plot

2013-08-04 Thread Aziz, Muhammad Fayez

Hi,

My question is how to make panel sizes variable in box plots. I mean if a panel 
has 10 box plots and another has only two, I need to make the later panel 
thinner than the first.

Regards,
Fayez
Grad Student
UIUC, USA
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PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


Re: [R] R-help Digest, Vol 126, Issue 6

2013-08-04 Thread Aziz, Muhammad Fayez
Hi,

My question is how to make panel sizes variable in box plots. I mean if a panel 
has 10 box plots and another has only two, I need to make the later panel 
thinner than the first.

Regards,
Fayez
Grad Student
UIUC, USA
__
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


Re: [R] Variable panel sizes in box plot

2013-08-04 Thread Aziz, Muhammad Fayez

Hi Jeff,

Thank you for your response. Pardon my lapse. Please find attached the code, 
data and output. I have used bwplot.

Fayez


From: Jeff Newmiller [jdnew...@dcn.davis.ca.us]
Sent: Sunday, August 04, 2013 5:29 PM
To: Aziz, Muhammad Fayez; r-help@r-project.org
Subject: Re: [R] Variable panel sizes in box plot

There are a variety of ways to make box plots (e.g. base graphics, lattice, and 
ggplot2). As the message footer says, you should be reading the Posting Guide 
and providing a reproducible example (with sample data).
---
Jeff NewmillerThe .   .  Go Live...
DCN:jdnew...@dcn.davis.ca.usBasics: ##.#.   ##.#.  Live Go...
  Live:   OO#.. Dead: OO#..  Playing
Research Engineer (Solar/BatteriesO.O#.   #.O#.  with
/Software/Embedded Controllers)   .OO#.   .OO#.  rocks...1k
---
Sent from my phone. Please excuse my brevity.

Aziz, Muhammad Fayez az...@illinois.edu wrote:

Hi,

My question is how to make panel sizes variable in box plots. I mean if
a panel has 10 box plots and another has only two, I need to make the
later panel thinner than the first.

Regards,
Fayez
Grad Student
UIUC, USA
__
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide
http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.Panels  RateNodeNo  Nntnt0  Nntnt0.0044843  Nntnt0.0089686  Nntnt0.0134529  
Nntnt0.0179372  Nntnt0.0313901  Nntnt0.0358744  Nntnt0.0403587  Nntnt0.044843   
Nntnt0.0538117  Nntnt0.0717489  Nntnt0.0807175  Nntnt0.0896861  Nntnt0.0941704  
Nntnt0.0986547  Nntnt0.1210762  Nntnt0.1255605  Nntnt0.1300448  Nntnt0.1345291  
Nntnt0.1434978  Nntnt0.1524664  Nntnt0.161435   Nntnt0.1659193  Nntnt0.1748879  
Nntnt0.1838565  Nntnt0.1883408  Nntnt0.1973094  Nntnt0.206278   Nntnt0.2107623  
Nntnt0.2197309  Nntnt0.2242152  Nntnt0.2466368  Nntnt0.2511211  Nntnt0.2600897  
Nntnt0.264574   Nntnt0.2735426  Nntnt0.2825112  Nntnt0.2869955  Nntnt0.2959641  
Nntnt0.3049327  Nntnt0.3587444  Nntnt0.4215247  Nntnt0.4618834  Nntnt0.4663677  
Nntnt0.4798206  Nntnt0.4977579  Nntnt0.5156951  Nntnt0.5201794  Nntnt0.529148   
Nntnt0.5336323  Nntnt0.5829597  Nntnt0.5874439  Nntnt0.5964125  Nntnt0.632287   
Nntnt0.7399103  Nntnt0.7533633  Nntnt0.7668161  Nntnt0.7802691  Nntnt0.8026906  
Nntnt0.8340807  Nntnt1
0.0 to 0.1 0.000   n.37.1  3   4   4   4   6   
6   7   8   8   9   9   9   9   9   9   
9   9   9   9   9   9   9   9   9   9   
10  10  11  11  11  11  11  11  11  11  
11  11  11  11  11  11  11  11  11  12  
12  12  12  12  12  12  12  12  12  12  
12  12  12  12  12  12
0.0 to 0.1 0.0044843   n.2.1   0   1   1   2   2   
3   3   4   5   6   6   6   6   6   6   
6   6   6   6   6   6   6   6   6   6   
6   6   6   6   6   6   6   6   6   6   
6   6   6   6   6   6   6   6   6   6   
6   6   6   6   6   6   6   6   6   6   
6   6   6   6   6   6
0.0 to 0.1 0.0089686   n.4.5   0   0   1   1   1   
1   1   1   2   2   2   2   2   2   2   
2   2   2   2   2   2   2   2   2   2   
2   2   2   2   2   2   2   2   2   2   
2   2   2   2   2   2   2   2   2   2   
3   3   3   3   3   3   3   3   3   3   
3   3   3   3   3   3
0.0 to 0.1 0.0134529   n.66.1  0   0   0   3   3   
3   3   3   4   4   4   4   4   4   4   
4   4   4   4   4   4   4   4   4   4   
4   4   4   4   4   4   4   4   4   4   
4   4   4   4   4   4   4   4   4   4   
4   4   4   4   4   4   4   4   4   4   
4   4   4   4   4   4
0.0 to 0.1 0.0179372   n.40.4  0   0   0   0   2   
2   2   2   2   2   2   2   2   2   2   
2   2   2   2   2   2   3

Re: [R] Variable panel sizes in box plot

2013-08-04 Thread Aziz, Muhammad Fayez

Hi Jim,

Your example works perfectly. Any possibility that the sizing could be 
automated. I am using bwplot. I can also use a prepanel function if needed. 
Please find attached the code, data and output.

Fayez


From: Jim Lemon [j...@bitwrit.com.au]
Sent: Sunday, August 04, 2013 5:43 PM
To: Aziz, Muhammad Fayez
Cc: r-help@r-project.org
Subject: Re: [R] Variable panel sizes in box plot

On 08/05/2013 08:01 AM, Aziz, Muhammad Fayez wrote:

 Hi,

 My question is how to make panel sizes variable in box plots. I mean if a 
 panel has 10 box plots and another has only two, I need to make the later 
 panel thinner than the first.

Hi Fayex,
Try this:

xdat-data.frame(a=rnorm(100),b=rnorm(100),c=rnorm(100),d=rnorm(100),
  e=rnorm(100),f=rnorm(100),g=rnorm(100))
dev.new(width=10,height=3)
layout(matrix(1:2,nrow=1),widths=c(5,2))
boxplot(xdat[1:5])
boxplot(xdat[6:7])

JimPanels  RateNodeNo  Nntnt0  Nntnt0.0044843  Nntnt0.0089686  Nntnt0.0134529  
Nntnt0.0179372  Nntnt0.0313901  Nntnt0.0358744  Nntnt0.0403587  Nntnt0.044843   
Nntnt0.0538117  Nntnt0.0717489  Nntnt0.0807175  Nntnt0.0896861  Nntnt0.0941704  
Nntnt0.0986547  Nntnt0.1210762  Nntnt0.1255605  Nntnt0.1300448  Nntnt0.1345291  
Nntnt0.1434978  Nntnt0.1524664  Nntnt0.161435   Nntnt0.1659193  Nntnt0.1748879  
Nntnt0.1838565  Nntnt0.1883408  Nntnt0.1973094  Nntnt0.206278   Nntnt0.2107623  
Nntnt0.2197309  Nntnt0.2242152  Nntnt0.2466368  Nntnt0.2511211  Nntnt0.2600897  
Nntnt0.264574   Nntnt0.2735426  Nntnt0.2825112  Nntnt0.2869955  Nntnt0.2959641  
Nntnt0.3049327  Nntnt0.3587444  Nntnt0.4215247  Nntnt0.4618834  Nntnt0.4663677  
Nntnt0.4798206  Nntnt0.4977579  Nntnt0.5156951  Nntnt0.5201794  Nntnt0.529148   
Nntnt0.5336323  Nntnt0.5829597  Nntnt0.5874439  Nntnt0.5964125  Nntnt0.632287   
Nntnt0.7399103  Nntnt0.7533633  Nntnt0.7668161  Nntnt0.7802691  Nntnt0.8026906  
Nntnt0.8340807  Nntnt1
0.0 to 0.1 0.000   n.37.1  3   4   4   4   6   
6   7   8   8   9   9   9   9   9   9   
9   9   9   9   9   9   9   9   9   9   
10  10  11  11  11  11  11  11  11  11  
11  11  11  11  11  11  11  11  11  12  
12  12  12  12  12  12  12  12  12  12  
12  12  12  12  12  12
0.0 to 0.1 0.0044843   n.2.1   0   1   1   2   2   
3   3   4   5   6   6   6   6   6   6   
6   6   6   6   6   6   6   6   6   6   
6   6   6   6   6   6   6   6   6   6   
6   6   6   6   6   6   6   6   6   6   
6   6   6   6   6   6   6   6   6   6   
6   6   6   6   6   6
0.0 to 0.1 0.0089686   n.4.5   0   0   1   1   1   
1   1   1   2   2   2   2   2   2   2   
2   2   2   2   2   2   2   2   2   2   
2   2   2   2   2   2   2   2   2   2   
2   2   2   2   2   2   2   2   2   2   
3   3   3   3   3   3   3   3   3   3   
3   3   3   3   3   3
0.0 to 0.1 0.0134529   n.66.1  0   0   0   3   3   
3   3   3   4   4   4   4   4   4   4   
4   4   4   4   4   4   4   4   4   4   
4   4   4   4   4   4   4   4   4   4   
4   4   4   4   4   4   4   4   4   4   
4   4   4   4   4   4   4   4   4   4   
4   4   4   4   4   4
0.0 to 0.1 0.0179372   n.40.4  0   0   0   0   2   
2   2   2   2   2   2   2   2   2   2   
2   2   2   2   2   2   3   3   3   3   
3   3   3   3   3   3   3   3   3   3   
3   3   3   3   3   3   3   3   3   3   
3   3   3   3   3   3   3   3   3   3   
3   3   3   3   3   3
0.0 to 0.1 0.0313901   n.3.1   0   0   0   0   0   
1   1   1   1   1   1   1   1   1   1   
1   1   1   1   1   1   1   1   1   1   
1   1   1   1   1   1   1   1   1   1   
1   1   1   1   1   1   1   1   1   1   
1   1   1   1   1   1

[R] How to interpret Poisson curve

2012-08-09 Thread Aziz, Muhammad Fayez

Hi All,

My question is more academic than technical.

The question is about interpretation of Poisson curve. I am using it to assess 
scale-free nature of degree distribution. Can you please briefly describe what 
is meant by the Poisson curve when you give it your range of k-neighbour data 
which apparently follows power-law (or does otherwise). The code I am using 
within the xyplot.panel to plot the Poisson curve follows. y is the degrees 
vector.

kfreq - table(y); # compute frequency hash table of y, the degrees
k - 1:max(y)
for (i in k) {
ichar - as.character(i) # convert to match the names(freq), the 
character-based hash key of freq, which is degree-value
if (!(ichar %in% names(kfreq)))
kfreq[ichar] - 0
}
sortedkeys - as.character(k)
kfreq -  kfreq[sortedkeys]
pk - kfreq / length(y)
panel.xyplot(col=blue, k, pk)

#overlaying the poisson distribution
poissonk - ppois(k, lambda = mean(y), lower.tail = FALSE) # 
lower.tail: if TRUE (default), probabilities are P[X = x], otherwise, P[X  x]
panel.xyplot(col=red, k, poissonk)

Regrads,
Fayez
GCA lab - UIUC

[[alternative HTML version deleted]]

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PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


Re: [R] community finding in a graph and heatplot

2012-06-05 Thread Aziz, Muhammad Fayez

Superb. It works. The results loo great. I just tweaked the function a little 
bit to suit my needs though. I passed merges and vcount separately as 
fgc$merges and vcount(g). The vcount attribute was not there in fgc object. 
Also, I removed the last row from the merges matrix before returning as it was 
adding the very root level undesired by the heatmap.2 function I was using. The 
final function looks like this:

# To generate a complete dendogram from disconnected subgraphs in merges given 
by fgc
complete.dend - function(merges, vcount) {
  if (nrow(merges)  vcount-1) {
miss - seq_len(vcount + nrow(merges))[-as.vector(merges)]
miss - c(miss, seq_len(length(miss)-2) + vcount+nrow(merges))
miss - matrix(miss, byrow=TRUE, ncol=2)
merges - rbind(merges, miss)
  }
  storage.mode(merges) - integer

  merges[-nrow(merges),] # skip last row
}

Thank you so much Gabor for this custom complete.dend fucntion. I couldn't find 
it in the regular igraph library 
(http://igraph.sourceforge.net/doc/R/00Index.html).

Best,
Fayez


From: csardi.ga...@gmail.com [csardi.ga...@gmail.com] on behalf of Gábor Csárdi 
[csa...@rmki.kfki.hu]
Sent: Monday, June 04, 2012 6:33 PM
To: Aziz, Muhammad Fayez
Cc: r-help@r-project.org; Caetano-Anolles, Gustavo
Subject: Re: [R] community finding in a graph and heatplot

On Sun, Jun 3, 2012 at 4:11 PM, Aziz, Muhammad Fayez az...@illinois.edu wrote:

 Hmm interesting. To come to think of it there could be many disconnected 
 components in the graph and thus there should be a generic way to either 
 mitigate the disconnectedness in the dendrogram or in the original graph. I 
 had no luck in finding such a trick though google search. I then ran the 
 script on minute-scale graphs and have following results:

 1) disconnected graph with three modules:

 *Vertices 9
 *Edges
 1 2 1
 2 3 1
 3 1 1
 4 5 1
 5 6 1
 6 4 1
 7 8 1
 8 9 1
 9 7 1

 corresponding fgc$merges matrix:

 [,1] [,2]
 [1,]10
 [2,]29
 [3,]76
 [4,]8   11
 [5,]43
 [6,]5   13

 2) connected graph by adding links 1-2 and 4-7 in graph 1):

 *Vertices 9
 *Edges
 1 2 1
 2 3 1
 3 1 1
 4 5 1
 5 6 1
 6 4 1
 7 8 1
 8 9 1
 9 7 1
 1 4 1
 4 7 1

 corresponding fgc$merges matrix:

 [,1] [,2]
 [1,]21
 [2,]09
 [3,]87
 [4,]6   11
 [5,]54
 [6,]3   13
 [7,]   14   12
 [8,]   15   10

 There needs to be a generic way to get fgc$merges of the form 2) from 1). 
 Hints please.

Well, how do you merge the unconnected components? I guess you could
come up with an order based on modularity, or just merge them in
arbitrary order. The following is from igraph 0.6, and I haven't tried
it on your data, but it might just work. It merges the individual
subtrees in arbitrary order.

complete.dend - function(comm) {
  merges - comm$merges
  if (nrow(merges)  comm$vcount-1) {
miss - seq_len(comm$vcount + nrow(merges))[-as.vector(merges)]
miss - c(miss, seq_len(length(miss)-2) + comm$vcount+nrow(merges))
miss - matrix(miss, byrow=TRUE, ncol=2)
merges - rbind(merges, miss)
  }
  storage.mode(merges) - integer

  merges
}

Best,
Gabor

[...]

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R-help@r-project.org mailing list
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PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


Re: [R] community finding in a graph and heatplot

2012-06-03 Thread Aziz, Muhammad Fayez

Hmm interesting. To come to think of it there could be many disconnected 
components in the graph and thus there should be a generic way to either 
mitigate the disconnectedness in the dendrogram or in the original graph. I had 
no luck in finding such a trick though google search. I then ran the script on 
minute-scale graphs and have following results:

1) disconnected graph with three modules:

*Vertices 9
*Edges
1 2 1
2 3 1
3 1 1
4 5 1
5 6 1
6 4 1
7 8 1
8 9 1
9 7 1

corresponding fgc$merges matrix:

 [,1] [,2]
[1,]10
[2,]29
[3,]76
[4,]8   11
[5,]43
[6,]5   13

2) connected graph by adding links 1-2 and 4-7 in graph 1):

*Vertices 9
*Edges
1 2 1
2 3 1
3 1 1
4 5 1
5 6 1
6 4 1
7 8 1
8 9 1
9 7 1
1 4 1
4 7 1

corresponding fgc$merges matrix:

 [,1] [,2]
[1,]21
[2,]09
[3,]87
[4,]6   11
[5,]54
[6,]3   13
[7,]   14   12
[8,]   15   10

There needs to be a generic way to get fgc$merges of the form 2) from 1). Hints 
please.

Thank you so much Gabor for your help so far and marvelous job in identifying 
the problem.

Best,
Fayez





From: csardi.ga...@gmail.com [csardi.ga...@gmail.com] on behalf of Gábor Csárdi 
[csa...@rmki.kfki.hu]
Sent: Sunday, June 03, 2012 8:56 AM
To: Aziz, Muhammad Fayez
Cc: r-help@r-project.org; Caetano-Anolles, Gustavo
Subject: Re: [R] community finding in a graph and heatplot

The problem is that your graph is unconnected, it has two components
and the as.dendrogram() function in igraph cannot handle that.
fastgreedy.community() returns a matrix of merges that is not a
complete dendrogram, the final top level merge of the components is
missing.

A workaround is to modify the result of fastgreedy.community and add
the missing row to the merges matrix, before calling as.dendrogram().

G.

On Thu, May 31, 2012 at 7:42 PM, Aziz, Muhammad Fayez
az...@illinois.edu wrote:

 Thank you so much Gabor for taking this on. Please find attached a sample 
 scenario with the problem of malfunctioning dendogram by fgc. I hope this 
 helps you narrow down to the solution.

 Best,
 Fayez

 
 From: csardi.ga...@gmail.com [csardi.ga...@gmail.com] on behalf of Gábor 
 Csárdi [csa...@rmki.kfki.hu]
 Sent: Thursday, May 31, 2012 4:23 PM
 To: Aziz, Muhammad Fayez
 Cc: r-help@r-project.org
 Subject: Re: [R] community finding in a graph and heatplot

 On Thu, May 31, 2012 at 12:08 PM, Aziz, Muhammad Fayez
 az...@illinois.edu wrote:

 Thank you so much Gabor for your reply. I had spotted your post earlier and 
 it worked like a charm. Interestingly I have just ran into a trouble with 
 the stament dend - igraph:::as.dendrogram.igraph.walktrap(fc). Apparently 
 the members are empty as when I print(dend) it says 'dendrogram' with 2 
 branches and  members total, at height 93 while the error with using dend 
 with dendrapply remians to be

 Error in `[[.dendrogram`(X, 2L) : attempt to set an attribute on NULL

 Any ideas?

 I would need to see fgc for this. Can you send it to me in private? Or
 send some self-contained example that generates the same error?

 Gabor

 My code looks like this

File2Open = paste(FilePath, NetworkFiles\\net\\, NetPrefix, 
  , TPPostfix, .net, sep = )
g - read.graph(File2Open, format=pajek)

g - delete.isolates(g)
g - simplify(g)

fgc - fastgreedy.community(g, modularity=TRUE, weights = 
 E(g)$weight)
ModularityIndexfgc - max(fgc$modularity) # fgc modularity
ModularityIndexng - modularity(g, membership, weights = 
 E(g)$weight) # newman-girvan modularity
dend - igraph:::as.dendrogram.igraph.walktrap(fgc)

png(filename = paste(FilePath, 
 Analysis\\Graphs\\EColiStressModuleHeatMap, NetPrefixAbbr, TPPostfix, 
 .png, sep = ), width = 800, height = 800) # heat map is square

adjMatrix = get.adjacency(g, attr=weight)
DendNodeCounter - 0 # counter for ColorGroupsOrdered
ColorGroupsOrdered - rep(red, vcount(g))
dendrapply(dend, colLab) # modifies ColorGroupsOrdered
 
 From: csardi.ga...@gmail.com [csardi.ga...@gmail.com] on behalf of Gábor 
 Csárdi [csa...@rmki.kfki.hu]
 Sent: Thursday, May 31, 2012 10:45 AM
 To: Aziz, Muhammad Fayez
 Cc: r-help@r-project.org
 Subject: Re: [R] community finding in a graph and heatplot

 On Tue, May 29, 2012 at 1:16 AM, Aziz, Muhammad Fayez
 az...@illinois.edu wrote:

 Hi everyone,

 I am using the fastgreedy.community function to get the $merges matrix and 
 the $modularity vector. This serves my purpose of testing modularity of my 
 graph. But I am greedy to plot the heat map and dendrrogram based on the 
 $merges dendogram matrix. I know that heatplot does the graphics part but I 
 am not sure if the dendogram generated by the heatplot will match

Re: [R] community finding in a graph and heatplot

2012-05-31 Thread Aziz, Muhammad Fayez

Thank you so much Gabor for your reply. I had spotted your post earlier and it 
worked like a charm. Interestingly I have just ran into a trouble with the 
stament dend - igraph:::as.dendrogram.igraph.walktrap(fc). Apparently the 
members are empty as when I print(dend) it says 'dendrogram' with 2 branches 
and  members total, at height 93 while the error with using dend with 
dendrapply remians to be

Error in `[[.dendrogram`(X, 2L) : attempt to set an attribute on NULL

Any ideas?

My code looks like this

File2Open = paste(FilePath, NetworkFiles\\net\\, NetPrefix,  
, TPPostfix, .net, sep = )
g - read.graph(File2Open, format=pajek)

g - delete.isolates(g)
g - simplify(g)

fgc - fastgreedy.community(g, modularity=TRUE, weights = 
E(g)$weight)
ModularityIndexfgc - max(fgc$modularity) # fgc modularity
ModularityIndexng - modularity(g, membership, weights = 
E(g)$weight) # newman-girvan modularity
dend - igraph:::as.dendrogram.igraph.walktrap(fgc)

png(filename = paste(FilePath, 
Analysis\\Graphs\\EColiStressModuleHeatMap, NetPrefixAbbr, TPPostfix, .png, 
sep = ), width = 800, height = 800) # heat map is square

adjMatrix = get.adjacency(g, attr=weight)
DendNodeCounter - 0 # counter for ColorGroupsOrdered
ColorGroupsOrdered - rep(red, vcount(g))
dendrapply(dend, colLab) # modifies ColorGroupsOrdered

From: csardi.ga...@gmail.com [csardi.ga...@gmail.com] on behalf of Gábor Csárdi 
[csa...@rmki.kfki.hu]
Sent: Thursday, May 31, 2012 10:45 AM
To: Aziz, Muhammad Fayez
Cc: r-help@r-project.org
Subject: Re: [R] community finding in a graph and heatplot

On Tue, May 29, 2012 at 1:16 AM, Aziz, Muhammad Fayez
az...@illinois.edu wrote:

 Hi everyone,

 I am using the fastgreedy.community function to get the $merges matrix and 
 the $modularity vector. This serves my purpose of testing modularity of my 
 graph. But I am greedy to plot the heat map and dendrrogram based on the 
 $merges dendogram matrix. I know that heatplot does the graphics part but I 
 am not sure if the dendogram generated by the heatplot will match the one 
 given by fastgreedy.community in all cases and that the heat map will 
 represent the same clustering.

No, they are different. To plot fast-greedy results as a dendrogram,
see this and the follow-ups:
http://lists.gnu.org/archive/html/igraph-help/2010-11/msg00059.html

Gabor

 Tell me if my apprehension is incorrect. Otherwise please let me know of any 
 alternatives. Here is the code I am testing so far:

 # http://igraph.sourceforge.net/doc/R/modularity.html
 # http://igraph.sourceforge.net/doc/R/fastgreedy.community.html
 # http://igraph.sourceforge.net/doc/R/graph.constructors.html

 library(igraph)
 library(made4)

 g - graph(c(1,2, 2,3, 3,1, 4,5)-1, , FALSE)
 print(g)
 ModuleInfo - fastgreedy.community(g)
 print(ModuleInfo)
 heatplot(c(1,2, 2,3, 3,1, 4,5))


 Thanks
 Fayez
 Grad student UIUC
 IL, USA

[[alternative HTML version deleted]]

 __
 R-help@r-project.org mailing list
 https://stat.ethz.ch/mailman/listinfo/r-help
 PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
 and provide commented, minimal, self-contained, reproducible code.



--
Gabor Csardi csa...@rmki.kfki.hu MTA KFKI RMKI

__
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


Re: [R] community finding in a graph and heatplot

2012-05-31 Thread Aziz, Muhammad Fayez

Thank you so much Gabor for taking this on. Please find attached a sample 
scenario with the problem of malfunctioning dendogram by fgc. I hope this helps 
you narrow down to the solution.

Best,
Fayez


From: csardi.ga...@gmail.com [csardi.ga...@gmail.com] on behalf of Gábor Csárdi 
[csa...@rmki.kfki.hu]
Sent: Thursday, May 31, 2012 4:23 PM
To: Aziz, Muhammad Fayez
Cc: r-help@r-project.org
Subject: Re: [R] community finding in a graph and heatplot

On Thu, May 31, 2012 at 12:08 PM, Aziz, Muhammad Fayez
az...@illinois.edu wrote:

 Thank you so much Gabor for your reply. I had spotted your post earlier and 
 it worked like a charm. Interestingly I have just ran into a trouble with the 
 stament dend - igraph:::as.dendrogram.igraph.walktrap(fc). Apparently the 
 members are empty as when I print(dend) it says 'dendrogram' with 2 branches 
 and  members total, at height 93 while the error with using dend with 
 dendrapply remians to be

 Error in `[[.dendrogram`(X, 2L) : attempt to set an attribute on NULL

 Any ideas?

I would need to see fgc for this. Can you send it to me in private? Or
send some self-contained example that generates the same error?

Gabor

 My code looks like this

File2Open = paste(FilePath, NetworkFiles\\net\\, NetPrefix, 
  , TPPostfix, .net, sep = )
g - read.graph(File2Open, format=pajek)

g - delete.isolates(g)
g - simplify(g)

fgc - fastgreedy.community(g, modularity=TRUE, weights = 
 E(g)$weight)
ModularityIndexfgc - max(fgc$modularity) # fgc modularity
ModularityIndexng - modularity(g, membership, weights = 
 E(g)$weight) # newman-girvan modularity
dend - igraph:::as.dendrogram.igraph.walktrap(fgc)

png(filename = paste(FilePath, 
 Analysis\\Graphs\\EColiStressModuleHeatMap, NetPrefixAbbr, TPPostfix, 
 .png, sep = ), width = 800, height = 800) # heat map is square

adjMatrix = get.adjacency(g, attr=weight)
DendNodeCounter - 0 # counter for ColorGroupsOrdered
ColorGroupsOrdered - rep(red, vcount(g))
dendrapply(dend, colLab) # modifies ColorGroupsOrdered
 
 From: csardi.ga...@gmail.com [csardi.ga...@gmail.com] on behalf of Gábor 
 Csárdi [csa...@rmki.kfki.hu]
 Sent: Thursday, May 31, 2012 10:45 AM
 To: Aziz, Muhammad Fayez
 Cc: r-help@r-project.org
 Subject: Re: [R] community finding in a graph and heatplot

 On Tue, May 29, 2012 at 1:16 AM, Aziz, Muhammad Fayez
 az...@illinois.edu wrote:

 Hi everyone,

 I am using the fastgreedy.community function to get the $merges matrix and 
 the $modularity vector. This serves my purpose of testing modularity of my 
 graph. But I am greedy to plot the heat map and dendrrogram based on the 
 $merges dendogram matrix. I know that heatplot does the graphics part but I 
 am not sure if the dendogram generated by the heatplot will match the one 
 given by fastgreedy.community in all cases and that the heat map will 
 represent the same clustering.

 No, they are different. To plot fast-greedy results as a dendrogram,
 see this and the follow-ups:
 http://lists.gnu.org/archive/html/igraph-help/2010-11/msg00059.html

 Gabor

 Tell me if my apprehension is incorrect. Otherwise please let me know of any 
 alternatives. Here is the code I am testing so far:

 # http://igraph.sourceforge.net/doc/R/modularity.html
 # http://igraph.sourceforge.net/doc/R/fastgreedy.community.html
 # http://igraph.sourceforge.net/doc/R/graph.constructors.html

 library(igraph)
 library(made4)

 g - graph(c(1,2, 2,3, 3,1, 4,5)-1, , FALSE)
 print(g)
 ModuleInfo - fastgreedy.community(g)
 print(ModuleInfo)
 heatplot(c(1,2, 2,3, 3,1, 4,5))


 Thanks
 Fayez
 Grad student UIUC
 IL, USA

[[alternative HTML version deleted]]

 __
 R-help@r-project.org mailing list
 https://stat.ethz.ch/mailman/listinfo/r-help
 PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
 and provide commented, minimal, self-contained, reproducible code.



 --
 Gabor Csardi csa...@rmki.kfki.hu MTA KFKI RMKI



--
Gabor Csardi csa...@rmki.kfki.hu MTA KFKI RMKI
attachment: WhyNot.pngattachment: Splendid.png__
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


[R] community finding in a graph and heatplot

2012-05-28 Thread Aziz, Muhammad Fayez

Hi everyone,

I am using the fastgreedy.community function to get the $merges matrix and the 
$modularity vector. This serves my purpose of testing modularity of my graph. 
But I am greedy to plot the heat map and dendrrogram based on the $merges 
dendogram matrix. I know that heatplot does the graphics part but I am not sure 
if the dendogram generated by the heatplot will match the one given by 
fastgreedy.community in all cases and that the heat map will represent the same 
clustering. Tell me if my apprehension is incorrect. Otherwise please let me 
know of any alternatives. Here is the code I am testing so far:

# http://igraph.sourceforge.net/doc/R/modularity.html
# http://igraph.sourceforge.net/doc/R/fastgreedy.community.html
# http://igraph.sourceforge.net/doc/R/graph.constructors.html

library(igraph)
library(made4)

g - graph(c(1,2, 2,3, 3,1, 4,5)-1, , FALSE)
print(g)
ModuleInfo - fastgreedy.community(g)
print(ModuleInfo)
heatplot(c(1,2, 2,3, 3,1, 4,5))


Thanks
Fayez
Grad student UIUC
IL, USA

[[alternative HTML version deleted]]

__
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


Re: [R] Panel.abline would not show beyond a certain slope value

2012-04-09 Thread Aziz, Muhammad Fayez

Yup. Latest version 2.15.0 for windows solved the problem alright! Thank you 
Uwe.

Regards,
Fayez

From: Uwe Ligges [lig...@statistik.tu-dortmund.de]
Sent: Monday, April 09, 2012 9:56 AM
To: Aziz, Muhammad Fayez
Cc: r-help@r-project.org
Subject: Re: [R] Panel.abline would not show beyond a certain slope value

On 09.04.2012 06:31, Aziz, Muhammad Fayez wrote:

 Hi,

 Please find the code and data following. Problem appears in lines 37 - 42 of 
 the code. I am using R.2.13.0 on WinXP.

Works for me with a recent version of R (i.e. 2.15.0) / grid and lattice
(i.e. 0.20-6).
Please always try with recent versions of R and packages before asking.

Best,
Uwe Ligges



 Regards,
 Fayez


 PowerLawGraphsAblineQn.R‎

 library('reshape')
 library(lattice)
 library(igraph) # to use power.law.fit function
 library(latticeExtra) # to use panel.lmlineq in loglog xyplot

 File2Open = C:\\Documents and Settings\\All 
 Users\\Documents\\Desktop\\Fayez\\RPractice\\PowerLawGraphsAblineQnData.txt
 DataTable = read.table(File2Open, header = TRUE, sep = \t)
 md- melt(DataTable, id.vars = c('Range', 'TheValue', 'TheNo')) # removed 
 'DegType' column 030312
 md$variable- as.numeric(substr(md$variable, 9, 
 nchar(as.character(md$variable


 mypanel4loglog-
  function(x, # x is the variable column in melted data, equals the Domain 
 Nos
  y, # y is the value column in melted data, the degrees
  ... # Rest of the arguments
  )
 {

  kfreq- table(y); # compute frquency hash table of y, the values
  k- 1:max(y)
  for (i in k) {
  ichar- as.character(i) # convert to match the names(freq), the 
 character-based hash key of freq, which is the value
  if (!(ichar %in% names(kfreq)))
  kfreq[ichar]- 0
  }
  sortedkeys- as.character(k)
  kfreq-  kfreq[sortedkeys]
  pk- kfreq / length(y)
  logk- log(k)
  logpk- log(pk)

  logpk[logpk == -Inf] =  # remove the -Inf or log(p(k)) = 0 values for 
 lm function, NULL is 0-length so use  instead that has length of one null 
 character
  logpk- as.numeric(logpk) #  converts all values to character, lm 
 needs numeric
  print(rbind(logk, logpk))#write.table(rbind(k, kfreq, pk, logk, 
 logpk), paste(FilePath, \\data, sep=), sep = \t, append = TRUE)

  panel.xyplot(col=blue, logk, logpk, type = c('p', 'r'))

  lm.r = lm(logpk ~ logk)
  panel.abline(coef=c(-4.847634, -1.037480)) # ---  This gets drawn
  panel.abline(coef=c(-4.847634, -1.037481)) # ---  This doesn't get 
 drawn
  print(coef(lm.r)) # -4.847634   -1.349699 ;  -3.377894   -1.498693

 } # end mypanel4loglog

 myprepanel4loglog-
  function(x, # x is the variable column in melted data, equals the 
 Network's ages
  y, # y is the value column in melted data, the degrees
  ... # Rest of the arguments
  )
 {
  FreqTable- as.data.frame(table(y))
  FreqsVector- sort(FreqTable$Freq)
  Min- FreqsVector[1] # first element - the lowest value frequency
 #print(c(Max2, length(y)))
  list(ylim = c(log(Min / length(y)), 0), xlim = c(0, log(max(y # 
 log(p(k)) is always -ve as p(k) is decimal, so max(log(p(k)) is 0
 } # end myprepanel4loglog

 print(xyplot(value ~ variable | Range,
  data = md,
  xlab = log(k); Panel = Range,
  ylab = log(p(k)),
  main = log(k) vs. log(p(k)),
  groups = Range,
  pch = 20, # dots instead of circles
  panel = mypanel4loglog,
  prepanel = myprepanel4loglog, # to set the scale of k and pk
  scales = list(x = (relation = free), y = (relation = free)), # 
 necessary to make x-axis in each panel adjustable according to k
 ))



__
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


[R] Print std. Error separately from mle-class object

2012-04-04 Thread Aziz, Muhammad Fayez
Hi,

I am using power.law.fit to get an mle-class object in tmp and print 
summary(tmp), coef(tmp) and logLik(tmp). I wanted to print the std. error for 
alpha separately as I want to show these values concisely in a graph legend. 
coef(summary(tmp)) displays the alpha and std. error jointly, while I need to 
print them separately on two lines.

Regards,
Fayez
__
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


Re: [R] Print std. Error separately from mle-class object

2012-04-04 Thread Aziz, Muhammad Fayez

Thank you Jeff for your input. I did realize just after posting the question 
that the summary fn returns an object whose slots can be read and that the 
slot containing the coefficient information is a matrix. Here is how I got the 
desired results through the following code in mypanel function of xyplot:

tmp - power.law.fit(y, xmin=1) 
coefMatrix - slot(summary(tmp), coef)
print(coefMatrix[alpha, Estimate]) # alpha:
print(coefMatrix[alpha, Std. Error]) # Std. Error
print(slot(summary(tmp), m2logL)) # -2 log L:

Best,
Fayez

From: Jeff Newmiller [jdnew...@dcn.davis.ca.us]
Sent: Wednesday, April 04, 2012 5:54 PM
To: Aziz, Muhammad Fayez; r-help@r-project.org
Subject: Re: [R] Print std. Error separately from mle-class object

Are you aware that the summary function normally returns a data value that you 
can extract values from and format to your hearts desire?
try
str(coef(summary(tmp)))
and read ?mle-class
(and try to provide a reproducible example next time)
---
Jeff NewmillerThe .   .  Go Live...
DCN:jdnew...@dcn.davis.ca.usBasics: ##.#.   ##.#.  Live Go...
  Live:   OO#.. Dead: OO#..  Playing
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/Software/Embedded Controllers)   .OO#.   .OO#.  rocks...1k
---
Sent from my phone. Please excuse my brevity.

Aziz, Muhammad Fayez az...@illinois.edu wrote:

Hi,

I am using power.law.fit to get an mle-class object in tmp and print
summary(tmp), coef(tmp) and logLik(tmp). I wanted to print the std.
error for alpha separately as I want to show these values concisely in
a graph legend. coef(summary(tmp)) displays the alpha and std. error
jointly, while I need to print them separately on two lines.

Regards,
Fayez
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[R] How to access value of the conditioning variable in my panel

2012-03-28 Thread Aziz, Muhammad Fayez

Hi,

I have 10 panels in the mypanel function of my xyplot based on the 
conditioning variable and I want to print those ten values, panel headings, 
groups, .. whatever you want to call them. Easiest way please!

Fayez

[[alternative HTML version deleted]]

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